Curves of AW\((k)\)-type in 3-dimensional null cone

DOI10.1016/j.physleta.2007.06.019zbMath1209.53006OpenAlexW1525614317MaRDI QIDQ716030

Mahmut Ergüt, Mehmet Bektas, Mihriban Külahcı

Publication date: 19 April 2011

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2007.06.019

zbMATH Keywords

Frenet formulasnull coneAW\((k)\)-type curve

Mathematics Subject Classification ID

Local submanifolds (53B25) Curves in Euclidean and related spaces (53A04) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (9)

Null Cartan Bertrand curves of \(AW(k)\)-type in Minkowski 4-space ⋮ Unnamed Item ⋮ On harmonic curvatures of a Frenet curve in Lorentzian space ⋮ Null surfaces of null curves on 3-null cone ⋮ General helices of AW(k)-type in the Lie group ⋮ Unnamed Item ⋮ Bertrand curves of AW(k)-type in Lorentzian space ⋮ A natural Frenet frame for null curves on the lightlike cone in Minkowski space \(\mathbb{R}^4_2 \) ⋮ ON HELICES AND SLANT HELICES IN THE LIGHTLIKE CONE

Cites Work

• Geometrical particle models on 3D null curves
• On the Cartan curvatures of a null curve in Minkowski space-time
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